Question

If the perimeter of square is equal to the circumference of cicrle. find the ratio of their areas

Answer 1

perimeter of square = 4a

circumference of circle= 2pie r

A/Q,

2pie r = 4a

so r = 2a / pie

area of square = a2

area of circle = pie r2

= pie (2a/pie)2

= 4a2 / pie

Ratio = a2 / 4a2/pie

= a2× pie / 4a2

= pie / 4

= 22/7 /4

= 22/28

= 11/14

= 11:14

Answer 2

Answer:

Ratio of areas=11:14

Step-by-step explanation:

Perimeter of square = Circumference of circle

4a=2πr

→2a=πr

→a=πr/2

Area of square=a²

Area of circle=πr²

Ratio of areas=a²/πr²

=[πr/2]²/πr²

=[π²r²/4]/πr²

=[π²r²/4]x[1/πr²]

=π/4

=22/[7x4]

=11/14

=11:14